Regensburg 2019 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 55: Poster: Noneq. Stat. Phys., Stat. Bio. Phys., Brownian
DY 55.12: Poster
Donnerstag, 4. April 2019, 15:00–18:00, Poster B2
Non-equilibrium dynamics of open systems exchanging particles — •JunHyuk Woo1, Segun Goh2, Jean-Yves Fortin3, and MooYoung Choi1 — 1Department of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea — 2Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany — 3Institut Jean Lamour, Groupe de Physique Statistique, Département de Physique de la Matière et des Matériaux, CNRS-UMR 7198, Vandoeuvre-lès-Nancy, F-54506, France
We consider an open system in contact with a reservoir, where particles as well as energies can be exchanged between them, and present a description of the dynamics in terms of mixed (pseudo)spin and state variables. Specifically, a master equation is constructed out of the exchange rates for particles and for energies, which allows us to probe the system in the grand canonical description. In particular, by means of the state resummation analysis, we obtain coupled time evolution equations for the probability distributions of the system as well as the environment. This is exemplified by a standard growth model, where the steady-state density function exhibits power-law behavior with the exponent depending on the microscopic parameters of the rate equations.